UPPSC 2025

Q. Which one number is like the given number set ? (363, 489, 579)

a) 281
b) 562
c) 382
d) 471
Correct Answer: d) 471

Question from UPPSC Prelims CSAT 2025

Explanation:

Identify a common property in the set: each number is congruent to 3 modulo 9 (sum of digits ≡ 3 mod 9), i.e., divisible by 3 but not by 9.
Check the set:
– 363: 3+6+3=12 → divisible by 3, not by 9 (12 ≡ 3 mod 9)
– 489: 4+8+9=21 → divisible by 3, not by 9 (21 ≡ 3 mod 9)
– 579: 5+7+9=21 → divisible by 3, not by 9 (21 ≡ 3 mod 9)
Check options:
– 281: 2+8+1=11 → not divisible by 3
– 562: 5+6+2=13 → not divisible by 3
– 382: 3+8+2=13 → not divisible by 3
– 471: 4+7+1=12 → divisible by 3, not by 9 (12 ≡ 3 mod 9)
Therefore, 471 is like the given number set.

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